Aristarchus's On the Sizes and Distances of the Sun and the Moon: Greek and Arabic Texts

@article{Berggren2007AristarchussOT,
  title={Aristarchus's On the Sizes and Distances of the Sun and the Moon: Greek and Arabic Texts},
  author={J. Lennart Berggren and Nathan Camillo Sidoli},
  journal={Archive for History of Exact Sciences},
  year={2007},
  volume={61},
  pages={213-254}
}
In the 1920s, T. L. Heath pointed out that historians of mathematics have "given too little attention to Aristarchus" (Heath 1921, vol. 2, 1). This is still true today. The Greek text of Aristarchus's On the Sizes and Distances of the Sun and the Moon has received little attention; the Arabic editions virtually none.1 For these reasons, much of what this text has to tell us about ancient and medieval mathematics and the mathematical sciences has gone unnoticed. When one considers that many of… 
Two problems in Aristarchus’s treatise on the sizes and distances of the sun and moon
The book of Aristarchus of Samos, On the distances and sizes of the sun and moon, is one of the few pre-Ptolemaic astronomical works that have come down to us in complete or nearly complete form. The
Determination of the Sun's and the Moon's sizes and distances: Revisiting Aristarchus' method
We have investigated the practicability of Aristarchus' method of determining the Sun's and the Moon's sizes and distances from Earth using a simple 8-in. telescope and a digital camera. Combining
The Two Earths of Eratosthenes
TLDR
This essay shows that Eratosthenes’ result of 252,000 stades for the Earth’s circumference follows from a solar distance that is attributed to him, indicating not only a lower limit for the size of the Earth, but also an upper limit, based on the assumption that the Sun is at a finite distance.
Ancient Greek Historiography of Science
There is some uncertainty among historians of science as to when the history of science first appeared. Unlike the old historical debate over the origin of mathematics or astronomy, the origin of the
Ancient Greek Mathematics
  • N. Sidoli
  • Art
    The Cambridge Companion to Ancient Greek and Roman Science
  • 2020
This chapter is addressed to those who wish to read the original sources of Greco-Roman mathematics, either in the original languages or in modern translations. Hence, it focuses on the kinds of
Aristotle on the Matter for Birth, Life, and the Elements
One of Aristotle’s major contributions to natural science was his development of an idea that he called hule ’, which we translate into English as ‘matter’. The notion of matter seems quite ordinary
Ancient Greek Mechanics and the Mechanical Hypothesis
There is a real danger, in approaching the topic of the history of mechanics in antiquity, of becoming entangled in modern terminology. E. J. Dijksterhuis, in his 1961 classic study The Mechanization
From Craft to Nature: The Emergence of Natural Teleology
A teleological explanation is an explanation in terms of an end or a purpose. So saying that ‘X came about for the sake of Y’ is a teleological account of X. It is a striking feature of ancient Greek
...
...

References

SHOWING 1-10 OF 25 REFERENCES
Archimedes' Sand-Reckoner: Aristarchos and Copernicus
T HE present study analyzes the famous heliocentric passage in the Sand-Reckoner (4auATr77s), a short treatise attributed to the great ARCHIMEDES of Syracuse (ca. 287-212 B.C.). This passage has been
Archimedes and Aristarchus
published a very informative book on the speed of reading (How to make type readable, New York, 1940). They find that the length of the line is not a very important factor in the legibility of 12
Proclus’ division of the mathematical proposition into parts: how and why was it formulated?
  • R. Netz
  • Education
    The Classical Quarterly
  • 1999
There are a number of ways in which Greek mathematics can be seen to be radically original. First, at the level of mathematical contents: many objects and results were first discovered by Greek
The Arabic Versions
TLDR
The corpus of sources for the study of the Arabic tradition of Euclidean optics is formed by a set of dependent texts, which together with the Arabic versions of the text, form the tradition as it developed in the four centuries between and occasionally beyond the Arabic version of the 3rd/9th and 7th/13th centuries.
The Appropriation and Subsequent Naturalization of Greek Science in Medieval Islam: A Preliminary Statement
A merely kinematic account of the transmission of scientific knowledge from one culture to another (where culture is understood mainly as a spatiotemporal region) would be a description of movements
A history of Greek mathematics
A text which looks at the history of Greek mathematics - a subject on which the author established a special authority by his succession of works on Diophantus, Apolonius of Perga, Archimedes, Euclid
Ancient Versions of two Trigonometric Lemmas
  • W. Knorr
  • Mathematics
    The Classical Quarterly
  • 1985
To justify certain steps of the computation developed in his Sand-Reckoner, Archimedes cites (without proof) the following inequalities relative to the sides of right triangles: if of two
Euclid’s Phaenomena
TLDR
The first modern English translation of Euclid's pioneering application of spherical geometry to astronomy has been translated from Greek to English.
Having a Knack for the Non-Intuitive: Aristarchus's Heliocentrism through Archimedes's Geocentrism
Avant que la legitimite mathematique ait prefere le terme geocentrisme a heliocentrisme, l'hypothese heliocentrique fut attribuee a Aristarque et non a Archimede
...
...